11649168 has 30 divisors (see below), whose sum is σ = 32601894. Its totient is φ = 3883008.

The previous prime is 11649151. The next prime is 11649179. The reversal of 11649168 is 86194611.

It is a happy number.

11649168 is a `hidden beast` number, since 1 + 1 + 649 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11370384 + 278784 = 3372^2 + 528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40305 + ... + 40592.

Almost surely, 2^11649168 is an apocalyptic number.

11649168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11649168 is an abundant number, since it is smaller than the sum of its proper divisors (20952726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11649168 is a wasteful number, since it uses less digits than its factorization.

11649168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80911 (or 80902 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11649168 is about 3413.0877515821. The cubic root of 11649168 is about 226.6896208972.

It can be divided in two parts, 116 and 49168, that added together give a square (49284 = 222²).

The spelling of 11649168 in words is "eleven million, six hundred forty-nine thousand, one hundred sixty-eight".